Nuclear theory sits at the fascinating intersection of particle physics and the forces that hold our universe together. This field explores how protons and neutrons bind inside atomic nuclei, seeking to understand the fundamental interactions that govern matter at its most dense and energetic levels. While the mathematics involved can be incredibly complex, the core questions are deeply human: how does the universe function at its smallest scales, and what happens when we push matter to its limits?

At Gist.Science, we make these cutting-edge discoveries accessible by processing every new preprint published in this category on arXiv. Our team transforms dense academic manuscripts into clear, plain-language summaries alongside detailed technical overviews, ensuring that both experts and curious readers can grasp the latest breakthroughs without getting lost in the jargon. Below are the latest papers in nuclear theory, distilled and ready for you to explore.

⚛️ nuclear theory

Analytical penetration probability including the centrifugal potential: An improved Buck--Merchant--Perez model for alpha-decay half-lives

This paper presents an improved Buck--Merchant--Perez model for alpha-decay half-lives that incorporates a closed-form WKB formula with centrifugal potential and a unified four-parameter nuclear potential, achieving a 57% reduction in root-mean-square deviation across 534 decays and providing predictions for superheavy nuclei in the Z = 117--120 region.

Minghui Hu, Pengfei Ma, Kai Ren, Junlong Tian, Cheng Li2026-07-15
⚛️ nuclear theory

Two-fluid ff-mode oscillations of dark-matter-admixed neutron stars

This study investigates quadrupolar ff-mode oscillations of dark-matter-admixed neutron stars in full general relativity, revealing that intermediate dark matter fractions can induce a weakly radiating oscillation branch with significantly enhanced damping times, thereby refining previous models by incorporating metric perturbations and radiative boundary conditions.

Zi-Yue Zheng, Ting-Ting Sun, Huan Chen, Xiao-Ping Zheng, Jin-Biao Wei, G. F. Burgio, H. -J. Schulze2026-07-15
⚛️ lattice

Hadronic vacuum polarization contribution to aμa_\mu from functional methods with strong and electromagnetic isospin breaking

This paper presents a continuum-QCD calculation of the leading-order hadronic vacuum polarization contribution to the muon's anomalous magnetic moment using Dyson-Schwinger and Bethe-Salpeter equations, incorporating strong and electromagnetic isospin breaking to yield a result of (710.0±14.5)×1010(710.0 \pm 14.5) \times 10^{-10} that aligns well with recent lattice-QCD determinations.

Angel S. Miramontes, Adnan Bashir, Christian S. Fischer, Pablo Roig2026-07-15
⚛️ nuclear theory

Strongly interacting matter with criticality induced by modified excluded volume in core-collapse supernova simulations

This paper develops a novel modified excluded volume equation of state that incorporates a first-order phase transition with a critical point to simulate core-collapse supernovae, revealing a distinct, burst-like neutrino signature and gravitational wave modes that differ from those predicted by traditional hybrid hadron-quark models.

Anil Kumar, Noshad Khosravi Largani, Stefan Typel, Pablo Cerdá-Durán, Alejandro Torres-Forné, Tobias Fischer2026-07-14